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Finding the Fourth Proportional to 40,702.63, 56,170.29 and 23,465.47

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Solution

The fourth proportional to 40,702.63, 56,170.29 and 23,465.47 is: 32,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,702.63 : 56,170.29 = 23,465.47 : x
  2. Step 2: Convert to fraction form
    40,702.63/56,170.29 = 23,465.47/x
  3. Step 3: Cross multiply
    40,702.63x = 56,170.29 × 23,465.47
  4. Step 4: Simplify right side
    40,702.63x = 1,318,062,254.89
  5. Step 5: Solve for x
    x = 1,318,062,254.89/40,702.63
  6. Step 6: Final answer
    x = 32,382.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.